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Finding the Fourth Proportional to 545.79, 753.27 and 312.87

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Solution

The fourth proportional to 545.79, 753.27 and 312.87 is: 431.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.79 : 753.27 = 312.87 : x
  2. Step 2: Convert to fraction form
    545.79/753.27 = 312.87/x
  3. Step 3: Cross multiply
    545.79x = 753.27 × 312.87
  4. Step 4: Simplify right side
    545.79x = 235,675.58
  5. Step 5: Solve for x
    x = 235,675.58/545.79
  6. Step 6: Final answer
    x = 431.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.